1. Calculations using decimal fractions is often easier than using fractions. Some parts of industry use decimal fractions to get some degree of precision like a tolerance in machining.

2. We will first look at the place values to the right of the decimal and how to round decimal fraction answers.

3. PLACE VALUE – each place to the right of the decimal are named and read according to the place where the digits end. 0. 1 2 3 4 5 6

4. PLACE VALUE – each place to the right of the decimal are named and read according to the place where the digits end. 0. 1 2 3 4 5 6 tenths

5. PLACE VALUE – each place to the right of the decimal are named and read according to the place where the digits end. 0. 1 2 3 4 5 6 tenths hundredths

6. PLACE VALUE – each place to the right of the decimal are named and read according to the place where the digits end. 0. 1 2 3 4 5 6 tenths hundredths thousandths

7. PLACE VALUE – each place to the right of the decimal are named and read according to the place where the digits end. 0. 1 2 3 4 5 6 tenths hundredths thousandths ten - thousandths

8. PLACE VALUE – each place to the right of the decimal are named and read according to the place where the digits end. 0. 1 2 3 4 5 6 tenths hundredths thousandths ten - thousandths hundred - thousandths

9. PLACE VALUE – each place to the right of the decimal are named and read according to the place where the digits end. 0. 1 2 3 4 5 6 tenths hundredths thousandths ten - thousandths hundred - thousandths millionths

10. To read decimal values, first read the whole number like we did in the first chapter. Then you find the place value where the digits to the right of the decimal point. You read the number normally then you add the descriptor to the end of the number. The word AND is used for the decimal point.

11. For example : Write 23.125

12. To read decimal values, first read the whole number like we did in the first chapter. Then you find the place value where the digits to the right of the decimal point. You read the number normally then you add the descriptor to the end of the number. The word AND is used for the decimal point. For example : Write 23.125 ANSWER : Twenty three AND one hundred twenty five thousandths Thousandths place

13. To read decimal values, first read the whole number like we did in the first chapter. Then you find the place value where the digits to the right of the decimal point. You read the number normally then you add the descriptor to the end of the number. The word AND is used for the decimal point. For example : Write 23.125 ANSWER : Twenty three AND one hundred twenty five thousandths EXAMPLE : Write 241.06 Thousandths place

14. To read decimal values, first read the whole number like we did in the first chapter. Then you find the place value where the digits to the right of the decimal point. You read the number normally then you add the descriptor to the end of the number. The word AND is used for the decimal point. For example : Write 23.125 ANSWER : Twenty three AND one hundred twenty five thousandths EXAMPLE : Write 241.06 ANSWER : Two hundred forty one AND six hundredths Thousandths place Hundredths place

15. To read decimal values, first read the whole number like we did in the first chapter. Then you find the place value where the digits to the right of the decimal point. You read the number normally then you add the descriptor to the end of the number. The word AND is used for the decimal point. For example : Write 23.125 ANSWER : Twenty three AND one hundred twenty five thousandths EXAMPLE : Write 241.06 ANSWER : Two hundred forty one AND six hundredths EXAMPLE : Write 1,350.01016 Thousandths place Hundredths place

16. To read decimal values, first read the whole number like we did in the first chapter. Then you find the place value where the digits to the right of the decimal point. You read the number normally then you add the descriptor to the end of the number. The word AND is used for the decimal point. For example : Write 23.125 ANSWER : Twenty three AND one hundred twenty five thousandths EXAMPLE : Write 241.06 ANSWER : Two hundred forty one AND six hundredths EXAMPLE : Write 1,350.01016 ANSWER : One thousand three hundred fifty AND one thousand sixteen ten - thousandths Thousandths place Hundredths place Ten - thousandths place

17. What if we knew the words for a number and had to show the number in digits ? Again, use your place values to determine the number.

18. What if we knew the words for a number and had to show the number in digits ? Again, use your place values to determine the number. EXAMPLE : Write the value three hundred ninety five AND sixteen hundredths

19. What if we knew the words for a number and had to show the number in digits ? Again, use your place values to determine the number. EXAMPLE : Write the value three hundred ninety five AND sixteen hundredths 395.16 Hundredths place

20. What if we knew the words for a number and had to show the number in digits ? Again, use your place values to determine the number. EXAMPLE : Write the value three hundred ninety five AND sixteen hundredths 395.16 Hundredths place EXAMPLE : Write ten thousand two hundred twenty seven AND one hundred sixty six thousandths

21. What if we knew the words for a number and had to show the number in digits ? Again, use your place values to determine the number. EXAMPLE : Write the value three hundred ninety five AND sixteen hundredths 395.16 Hundredths place EXAMPLE : Write ten thousand two hundred twenty seven AND one hundred sixty six thousandths 10,227.166

22. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values.

23. To round correctly : 1. Identify which place value you are rounding to

24. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values. To round correctly : 1. Identify which place value you are rounding to 2. Find the number to the right next to your place value.

25. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values. To round correctly : 1. Identify which place value you are rounding to 2. Find the number to the right next to your place value. 3. a) If that number is 5 or more, add 1 to your place value’s number b) If that number is 4 or less, your place value’s number stays the same

26. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values. To round correctly : 1. Identify which place value you are rounding to 2. Find the number to the right next to your place value. 3. a) If that number is 5 or more, add 1 to your place value’s number b) If that number is 4 or less, your place value’s number stays the same EXAMPLE : Round 125.0584 to the hundredths place ( 2 decimal places )

27. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values. To round correctly : 1. Identify which place value you are rounding to 2. Find the number to the right next to your place value. 3. a) If that number is 5 or more, add 1 to your place value’s number b) If that number is 4 or less, your place value’s number stays the same EXAMPLE : Round 125.0584 to the hundredths place ( 2 decimal places ) The decimal place we are rounding to is hundredths

28. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values. To round correctly : 1. Identify which place value you are rounding to 2. Find the number to the right next to your place value. 3. a) If that number is 5 or more, add 1 to your place value’s number b) If that number is 4 or less, your place value’s number stays the same EXAMPLE : Round 125.0584 to the hundredths place ( 2 decimal places ) The decimal place we are rounding to is hundredths The number to the right is 8

29. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values. To round correctly : 1. Identify which place value you are rounding to 2. Find the number to the right next to your place value. 3. a) If that number is 5 or more, add 1 to your place value’s number b) If that number is 4 or less, your place value’s number stays the same EXAMPLE : Round 125.0584 to the hundredths place ( 2 decimal places ) The decimal place we are rounding to is hundredths The number to the right is 8 Since 8 is greater than 5, we add one to the hundredths place 5 + 1 = 6

30. Calculations with decimal fractions will sometimes require us to round our answer. Some fractions when changed to decimal have a decimal part that doesn’t end or have a pattern. So we will be rounding decimal fraction values to specified place values. To round correctly : 1. Identify which place value you are rounding to 2. Find the number to the right next to your place value. 3. a) If that number is 5 or more, add 1 to your place value’s number b) If that number is 4 or less, your place value’s number stays the same EXAMPLE : Round 125.0584 to the hundredths place ( 2 decimal places ) The decimal place we are rounding to is hundredths The number to the right is 8 Since 8 is greater than 5, we add one to the hundredths place 5 + 1 = 6 ANSWER : 125.06

31. Let’s try another one … Round 1,397.00397 to thousandths place

32. Let’s try another one … Round 1,397.00397 to thousandths place Thousandths place is here…

33. Let’s try another one … Round 1,397.00397 to thousandths place Thousandths place is here… The number to the right = 7 which is greater than 5

34. Let’s try another one … Round 1,397.00397 to thousandths place Thousandths place is here… The number to the right = 7 which is greater than 5 So we add 1 to the thousandths place number 9 + 1 =10

35. Let’s try another one … Round 1,397.00397 to thousandths place Thousandths place is here… The number to the right = 7 which is greater than 5 So we add 1 to the thousandths place number 9 + 1 =10 So now what ?

36. Let’s try another one … Round 1,397.00397 to thousandths place Thousandths place is here… The number to the right = 7 which is greater than 5 So we add 1 to the thousandths place number 9 + 1 =10 So now what ? If you have a 9 in the position you are adding the 1 to, the place value you are rounding to becomes zero, and the number to the left of your place value increases by 1.

37. Let’s try another one … Round 1,397.00397 to thousandths place Thousandths place is here… The number to the right = 7 which is greater than 5 So we add 1 to the thousandths place number 9 + 1 =10 So now what ? If you have a 9 in the position you are adding the 1 to, the place value you are rounding to becomes zero, and the number to the left of your place value increases by 1. ANSWER : 1,397.0040 OR 1,379.004